Question

a) Determine the series of the given function. In the first box after the summation symbol, type in -1 or 1 indicating whether the series is alternating or not.
b) Write out the sum of the first four nonzero terms of the series representing this function.
c) Determine the interval of convergence. The outside boxes require the endpoints and the inside boxes require the symbol < or <=.

Answer 1

The series of the given function is ∑ n = 0 ( 1 )^n 6 * 5^n * x^n .

Given :

a )

The series of the given function. In the first box after the summation symbol, type in -1 or 1 indicating whether the series is alternating or not.

∑ n = 0 ( 1 )^n 6 * 5^n * x^n .

b )

The sum of the first four nonzero terms of the series representing this function is :

= 6 + 30x + 150x + 750x

c )

the interval of convergence. The outside boxes require the endpoints and the inside boxes require the symbol < or <= is :

= -1/5 ≤ x < 1/5 .

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